Finding the Third Proportional to 212,014.13 and 461,401.31

Step by Step Solution

1. Step 1: Write the proportion equation
   212,014.13 : 461,401.31 = 461,401.31 : x
2. Step 2: Convert to fraction form
   212,014.13/461,401.31 = 461,401.31/x
3. Step 3: Cross multiply
   212,014.13x = 461,401.31 × 461,401.31
4. Step 4: Simplify right side
   212,014.13x = 212,891,171,176.72
5. Step 5: Solve for x
   x = 212,891,171,176.72/212,014.13
6. Step 6: Final answer
   x = 1,004,136.73